On Best Proximity Points of Generalized Almost-F-Contraction Mappings
نویسندگان
چکیده
منابع مشابه
On best proximity points for multivalued cyclic $F$-contraction mappings
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in this paper, we establish and prove the existence of best proximity points for multivalued cyclic $f$- contraction mappings in complete metric spaces. our results improve and extend various results in literature.
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Given A and B two subsets of a metric space, a mapping T : A∪B → A∪B is said to be cyclic if T (A) ⊆ B and T (B) ⊆ A. It is known that, if A and B are nonempty and complete and the cyclic map verifies for some k ∈ (0, 1) that d(Tx, Ty) ≤ kd(x, y) ∀ x ∈ A and y ∈ B, then A∩B 6= ∅ and the mapping T has a unique fixed point. A generalization of this situation was studied under the assumption of A ...
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ژورنال
عنوان ژورنال: Journal of the Indonesian Mathematical Society
سال: 2019
ISSN: 2460-0245,2086-8952
DOI: 10.22342/jims.25.1.532.16-23